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Process reward models (PRMs) play a central role in guiding inference-time scaling algorithms for large language models (LLMs). However, we observe that even state-of-the-art PRMs can be poorly calibrated. Specifically, they tend to…

Machine Learning · Statistics 2025-11-10 Young-Jin Park , Kristjan Greenewald , Kaveh Alim , Hao Wang , Navid Azizan

Large language models (LLMs) are increasingly being deployed in cost and latency-sensitive settings. While chain-of-thought improves reasoning, it can waste tokens on simple requests. We study selective thinking for tool-using LLMs and…

Tree of Thoughts (ToT) enhances Large Language Model (LLM) reasoning by structuring problem-solving as a spanning tree. However, recent methods focus on search accuracy while overlooking computational efficiency. The challenges of…

Artificial Intelligence · Computer Science 2025-02-28 Yifu Ding , Wentao Jiang , Shunyu Liu , Yongcheng Jing , Jinyang Guo , Yingjie Wang , Jing Zhang , Zengmao Wang , Ziwei Liu , Bo Du , Xianglong Liu , Dacheng Tao

Step-level reward models (SRMs) can significantly enhance mathematical reasoning performance through process supervision or step-level preference alignment based on reinforcement learning. The performance of SRMs is pivotal, as they serve…

Artificial Intelligence · Computer Science 2025-03-11 Yiran Ma , Zui Chen , Tianqiao Liu , Mi Tian , Zhuo Liu , Zitao Liu , Weiqi Luo

We develop a novel advanced Particle Markov chain Monte Carlo algorithm that is capable of sampling from the posterior distribution of non-linear state space models for both the unobserved latent states and the unknown model parameters. We…

Methodology · Statistics 2015-03-17 Gareth W. Peters , Geoff R. Hosack , Keith R. Hayes

Large Language Models (LLMs) often falter in complex reasoning tasks due to their static, parametric knowledge, leading to hallucinations and poor performance in specialized domains like mathematics. This work explores a fundamental…

Machine Learning · Computer Science 2026-02-10 Srijan Shakya , Anamaria-Roberta Hartl , Sepp Hochreiter , Korbinian Pöppel

Recent advancements in Large Language Models (LLMs) have shown that it is promising to utilize Process Reward Models (PRMs) as verifiers to enhance the performance of LLMs. However, current PRMs face three key challenges: (1) limited…

Computation and Language · Computer Science 2025-04-08 Jian Zhao , Runze Liu , Kaiyan Zhang , Zhimu Zhou , Junqi Gao , Dong Li , Jiafei Lyu , Zhouyi Qian , Biqing Qi , Xiu Li , Bowen Zhou

Handcrafting heuristics for solving complex optimization tasks (e.g., route planning and task allocation) is a common practice but requires extensive domain knowledge. Recently, Large Language Model (LLM)-based automatic heuristic design…

Artificial Intelligence · Computer Science 2025-02-03 Zhi Zheng , Zhuoliang Xie , Zhenkun Wang , Bryan Hooi

Process Reward Models (PRMs) have shown promise in enhancing the mathematical reasoning capabilities of Large Language Models (LLMs) through Test-Time Scaling (TTS). However, their integration into multimodal reasoning remains largely…

Computation and Language · Computer Science 2025-10-07 Ruilin Luo , Zhuofan Zheng , Yifan Wang , Xinzhe Ni , Zicheng Lin , Songtao Jiang , Yiyao Yu , Chufan Shi , Lei Wang , Ruihang Chu , Jin Zeng , Yujiu Yang

Adaptive Markov Chain Monte Carlo (AMCMC) is a class of MCMC algorithms where the proposal distribution changes at every iteration of the chain. In this case it is important to verify that such a Markov Chain indeed has a stationary…

Probability · Mathematics 2015-09-07 Gopal K. Basak , Arunangshu Biswas

As language models regularly make mistakes when solving math problems, automated identification of errors in the reasoning process becomes increasingly significant for their scalable oversight. In this paper, we introduce ProcessBench for…

Artificial Intelligence · Computer Science 2025-05-27 Chujie Zheng , Zhenru Zhang , Beichen Zhang , Runji Lin , Keming Lu , Bowen Yu , Dayiheng Liu , Jingren Zhou , Junyang Lin

Process Reward Models (PRMs) provide step-level supervision to large language models (LLMs), but scaling up training data annotation remains challenging for both humans and LLMs. To address this limitation, we propose an active learning…

Machine Learning · Computer Science 2025-04-16 Keyu Duan , Zichen Liu , Xin Mao , Tianyu Pang , Changyu Chen , Qiguang Chen , Michael Qizhe Shieh , Longxu Dou

This paper introduces COR-MCTS (Conservation of Resources - Monte Carlo Tree Search), a novel tactical decision-making approach for automated driving focusing on maneuver planning over extended horizons. Traditional decision-making…

Robotics · Computer Science 2025-04-23 Karim Essalmi , Fernando Garrido , Fawzi Nashashibi

Large reasoning models (LRMs) achieve strong performance through extended reasoning traces, but they often exhibit overthinking behavior for low-complexity queries. Existing efforts to mitigate this issue are fundamentally limited by…

Machine Learning · Computer Science 2026-02-27 Zihang Xu , Haozhi Xie , Ziqi Miao , Wuxuan Gong , Chen Qian , Lijun Li

We present a Bayesian sampling algorithm called adaptive importance sampling or Population Monte Carlo (PMC), whose computational workload is easily parallelizable and thus has the potential to considerably reduce the wall-clock time…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-02 Darren Wraith , Martin Kilbinger , Karim Benabed , Olivier Cappé , Jean-François Cardoso , Gersende Fort , Simon Prunet , Christian P. Robert

Atomistic simulations provide valuable insights into the physical processes governing material behavior. However, their applicability is fundamentally constrained by the limited time scales accessible to brute-force simulations. This…

Computational Physics · Physics 2026-02-16 Michael Kim , Wei Cai

We introduce Preconditioned Monte Carlo (PMC), a novel Monte Carlo method for Bayesian inference that facilitates efficient sampling of probability distributions with non-trivial geometry. PMC utilises a Normalising Flow (NF) in order to…

Instrumentation and Methods for Astrophysics · Physics 2022-08-24 Minas Karamanis , Florian Beutler , John A. Peacock , David Nabergoj , Uros Seljak

Recent studies show that Large Language Models (LLMs) achieve strong reasoning capabilities through supervised fine-tuning or reinforcement learning. However, a key approach, the Process Reward Model (PRM), suffers from reward hacking,…

Computation and Language · Computer Science 2026-04-10 Teng Wang , Zhangyi Jiang , Zhenqi He , Shenyang Tong , Wenhan Yang , Yanan Zheng , Zeyu Li , Zifan He , Hailei Gong , Zewen Ye , Shengjie Ma , Jianping Zhang

Large language models (LLMs) have demonstrated remarkable capabilities in code generation and structured reasoning; however, their performance often degrades on complex tasks that require consistent multi-step planning. Recent work has…

Machine Learning · Computer Science 2025-08-11 Fei Xu Yu , Gina Adam , Nathaniel D. Bastian , Tian Lan

Monte Carlo Tree Search (MCTS) has emerged as a powerful tool for decision-making in robotics, enabling efficient exploration of large search spaces. However, traditional MCTS methods struggle in environments characterized by high…

Robotics · Computer Science 2025-03-10 Xibai Wang